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rjkz [21]
4 years ago
13

Solve this equation

Mathematics
1 answer:
pshichka [43]4 years ago
4 0
Match bases
remember that if x^a=x^b where x=x, then a=b

remember some exponential properties
(a^b)^c=a^{bc}
x^{-m}=\frac{1}{x^m}

ok, 1/81 and 9,hmm
1/81=81^-1
81=9^2
1/81=81^-1=(9^2)^-1=9^-2
so
(\frac{1}{81})^a=9^{3a+10}
(9^{-2})^a=9^{3a+10}
9^{-2a}=9^{3a+10}
9=9 so -2a=3a+10
-2a=3a+10
minus 3a both sides
-5a=10
divide both sides by -5
a=-2
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